In order to determine the question mark, I had to use an inductive approach to search. Each observation of a sequence of shapes helped me to develop a theory of what the next shape would be. Every following observation helped me to confirm or disconfirm that theory. This theory then helped me to guess what the shape on the question mark would be.

This is a mathematical problem. One needs to calculate the total surface of all the shapes and then divide it by either 3, for triangle, or 5 for pentagon. From this equation, you can determine which shape.

In order to determine the question mark, I had to use a deductive approach to search. We know from theory that in all intelligence tests, the last answer is the correct one.

There was no way to know from using either induction or deduction. The only way to get the right answer is to make a guess.